This article is cited in 1 scientific paper (total in 1 paper)
A category-theoretic approach extending the notion of connection in a natural way, and its application to the geometry of differential systems
L. E. Evtushika, O. M. Omelyanb
a M. V. Lomonosov Moscow State University
b Immanuel Kant State University of Russia
We give the widest geometrical generalization of the notion of connection in fiber spaces that allows one to adequately construct the geometry of ordinary differential systems of any order. In this area, there is a theory of nonlinear stable connections developed by the first author. Here we apply it to fourth-order systems.
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Journal of Mathematical Sciences (New York), 2011, 177:4, 551–557
L. E. Evtushik, O. M. Omelyan, “A category-theoretic approach extending the notion of connection in a natural way, and its application to the geometry of differential systems”, Fundam. Prikl. Mat., 16:1 (2010), 55–63; J. Math. Sci., 177:4 (2011), 551–557
Citation in format AMSBIB
\by L.~E.~Evtushik, O.~M.~Omelyan
\paper A~category-theoretic approach extending the notion of connection in a~natural way, and its application to the geometry of differential systems
\jour Fundam. Prikl. Mat.
\jour J. Math. Sci.
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O. M. Omelyan, “O metricheskoi svyaznosti Levi-Chivita na raspredelenie ploskostei”, Mezhdunar. nauch.-issled. zhurn., 2018, no. 12(78), 26–30
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